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Finding the Fourth Proportional to 497,404.20, 746,106.30 and 408,757.80

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Solution

The fourth proportional to 497,404.20, 746,106.30 and 408,757.80 is: 613,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,404.20 : 746,106.30 = 408,757.80 : x
  2. Step 2: Convert to fraction form
    497,404.20/746,106.30 = 408,757.80/x
  3. Step 3: Cross multiply
    497,404.20x = 746,106.30 × 408,757.80
  4. Step 4: Simplify right side
    497,404.20x = 304,976,769,754.14
  5. Step 5: Solve for x
    x = 304,976,769,754.14/497,404.20
  6. Step 6: Final answer
    x = 613,136.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.